Let y = the distance between the top left corner and the bottom right corner
y^2 = 24^2 + 15^2
y^2 = 801
y = 3 * sqrt(89)
Now we can find x.
12^2 + x^2 = (3 * sqrt(89))^2
x^2 = 657
x = 3 * sqrt(73) or 25.63
I remember CUP -- concave up positive. Here we have a leading coefficient that's negative, so the cup is upside down, the parabola opens down, an arch not a bowl.
Answer:
It cost $8 per person to get into the carnival
Step-by-step explanation:
Let the entry cost be y
Let Cost of 1 game be x
Cost of 5 games = 5x
Cost of 12 games = 12x
Frankie played 5 games and spent $15.50 altogether.
So,
--- A
Maria played 12 games and spent $26 altogether.
So,
-- B
Plot the lines
--- Black color
--- Red color
Intersection point provides the solution
(x,y)=(1.5,8)
So, it cost $8 per person to get into the carnival
Let's build the equation counting how many x's and 1's are there on each side.
On the left hand side we have 5x's and 8 1's, for a total of 
On the left hand side we have 3x's and 10 1's, for a total of 
So, the equation we want to solve is

Subtract 3x from both sides:

Subtract 8 from both sides:

Divide both sides by 2:

Answer:
(0,4)
Step-by-step explanation:
y intercept is where the line crosses the y axis